Point being is that statistics is not causal. Getting a bird in the canopy or a dead engine on climbout is a real possibility on EVERY flight regardless of statistics. The more you fly, the more you are exposed to bad things. During such an accident, you may have some input, maybe not.
When presented with “maybe not” with a dead engine on climbout, the inevitable is bad eaither way. That’s when we still see even the very best trained pilots with high time in type try just about anything.